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Simplifying 2(w + 5) + 2w = 46 Reorder the terms: 2(5 + w) + 2w = 46 (5 * 2 + w * 2) + 2w = 46 (10 + 2w) + 2w = 46 Combine like terms: 2w + 2w = 4w 10 + 4w = 46 Solving 10 + 4w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4w = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 4w = 46 + -10 4w = 46 + -10 Combine like terms: 46 + -10 = 36 4w = 36 Divide each side by '4'. w = 9 Simplifying w = 9
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